TSTP Solution File: HEN009-6 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HEN009-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WydkcIjlfa true
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:57:52 EDT 2023
% Result : Unsatisfiable 1.28s 0.91s
% Output : Refutation 1.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN009-6 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WydkcIjlfa true
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Aug 24 13:24:42 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % Running portfolio for 300 s
% 0.13/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Number of cores: 8
% 0.13/0.33 % Python version: Python 3.6.8
% 0.13/0.33 % Running in FO mode
% 0.18/0.59 % Total configuration time : 435
% 0.18/0.59 % Estimated wc time : 1092
% 0.18/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.18/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.28/0.91 % Solved by fo/fo5.sh.
% 1.28/0.91 % done 467 iterations in 0.190s
% 1.28/0.91 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.28/0.91 % SZS output start Refutation
% 1.28/0.91 thf(zero_type, type, zero: $i).
% 1.28/0.91 thf(c_type, type, c: $i).
% 1.28/0.91 thf(divide_type, type, divide: $i > $i > $i).
% 1.28/0.91 thf(a_type, type, a: $i).
% 1.28/0.91 thf(less_equal_type, type, less_equal: $i > $i > $o).
% 1.28/0.91 thf(d_type, type, d: $i).
% 1.28/0.91 thf(b_type, type, b: $i).
% 1.28/0.91 thf(identity_type, type, identity: $i).
% 1.28/0.91 thf(x_divide_x_is_zero, axiom, (( divide @ X @ X ) = ( zero ))).
% 1.28/0.91 thf(zip_derived_cl9, plain, (![X0 : $i]: ((divide @ X0 @ X0) = (zero))),
% 1.28/0.91 inference('cnf', [status(esa)], [x_divide_x_is_zero])).
% 1.28/0.91 thf(quotient_less_equal2, axiom,
% 1.28/0.91 (( ( divide @ X @ Y ) != ( zero ) ) | ( less_equal @ X @ Y ))).
% 1.28/0.91 thf(zip_derived_cl1, plain,
% 1.28/0.91 (![X0 : $i, X1 : $i]:
% 1.28/0.91 (((divide @ X0 @ X1) != (zero)) | (less_equal @ X0 @ X1))),
% 1.28/0.91 inference('cnf', [status(esa)], [quotient_less_equal2])).
% 1.28/0.91 thf(zip_derived_cl26, plain,
% 1.28/0.91 (![X0 : $i]: (((zero) != (zero)) | (less_equal @ X0 @ X0))),
% 1.28/0.91 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 1.28/0.91 thf(zip_derived_cl32, plain, (![X0 : $i]: (less_equal @ X0 @ X0)),
% 1.28/0.91 inference('simplify', [status(thm)], [zip_derived_cl26])).
% 1.28/0.91 thf(id_divide_b_is_c, axiom, (( divide @ identity @ b ) = ( c ))).
% 1.28/0.91 thf(zip_derived_cl14, plain, (((divide @ identity @ b) = (c))),
% 1.28/0.91 inference('cnf', [status(esa)], [id_divide_b_is_c])).
% 1.28/0.91 thf(property_of_divide1, axiom,
% 1.28/0.91 (( ~( less_equal @ ( divide @ X @ Y ) @ Z ) ) |
% 1.28/0.91 ( less_equal @ ( divide @ X @ Z ) @ Y ))).
% 1.28/0.91 thf(zip_derived_cl10, plain,
% 1.28/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.91 (~ (less_equal @ (divide @ X0 @ X1) @ X2)
% 1.28/0.91 | (less_equal @ (divide @ X0 @ X2) @ X1))),
% 1.28/0.91 inference('cnf', [status(esa)], [property_of_divide1])).
% 1.28/0.91 thf(zip_derived_cl46, plain,
% 1.28/0.91 (![X0 : $i]:
% 1.28/0.91 (~ (less_equal @ c @ X0)
% 1.28/0.91 | (less_equal @ (divide @ identity @ X0) @ b))),
% 1.28/0.91 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl10])).
% 1.28/0.91 thf(zip_derived_cl167, plain, ( (less_equal @ (divide @ identity @ c) @ b)),
% 1.28/0.91 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl46])).
% 1.28/0.91 thf(id_divide_c_is_d, axiom, (( divide @ identity @ c ) = ( d ))).
% 1.28/0.91 thf(zip_derived_cl15, plain, (((divide @ identity @ c) = (d))),
% 1.28/0.91 inference('cnf', [status(esa)], [id_divide_c_is_d])).
% 1.28/0.91 thf(zip_derived_cl170, plain, ( (less_equal @ d @ b)),
% 1.28/0.91 inference('demod', [status(thm)], [zip_derived_cl167, zip_derived_cl15])).
% 1.28/0.91 thf(less_equal_and_equal, axiom,
% 1.28/0.91 (( ~( less_equal @ X @ Y ) ) | ( ~( less_equal @ Y @ X ) ) |
% 1.28/0.91 ( ( X ) = ( Y ) ))).
% 1.28/0.91 thf(zip_derived_cl5, plain,
% 1.28/0.91 (![X0 : $i, X1 : $i]:
% 1.28/0.91 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 1.28/0.91 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 1.28/0.91 thf(zip_derived_cl174, plain, ((((d) = (b)) | ~ (less_equal @ b @ d))),
% 1.28/0.91 inference('sup-', [status(thm)], [zip_derived_cl170, zip_derived_cl5])).
% 1.28/0.91 thf(prove_b_equals_d, conjecture, (( b ) = ( d ))).
% 1.28/0.91 thf(zf_stmt_0, negated_conjecture, (( b ) != ( d )),
% 1.28/0.91 inference('cnf.neg', [status(esa)], [prove_b_equals_d])).
% 1.28/0.91 thf(zip_derived_cl16, plain, (((b) != (d))),
% 1.28/0.91 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.28/0.91 thf(zip_derived_cl176, plain, (~ (less_equal @ b @ d)),
% 1.28/0.91 inference('simplify_reflect-', [status(thm)],
% 1.28/0.91 [zip_derived_cl174, zip_derived_cl16])).
% 1.28/0.91 thf(zip_derived_cl15, plain, (((divide @ identity @ c) = (d))),
% 1.28/0.91 inference('cnf', [status(esa)], [id_divide_c_is_d])).
% 1.28/0.91 thf(zip_derived_cl32, plain, (![X0 : $i]: (less_equal @ X0 @ X0)),
% 1.28/0.91 inference('simplify', [status(thm)], [zip_derived_cl26])).
% 1.28/0.91 thf(id_divide_a_is_b, axiom, (( divide @ identity @ a ) = ( b ))).
% 1.28/0.91 thf(zip_derived_cl13, plain, (((divide @ identity @ a) = (b))),
% 1.28/0.91 inference('cnf', [status(esa)], [id_divide_a_is_b])).
% 1.28/0.91 thf(zip_derived_cl10, plain,
% 1.28/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.91 (~ (less_equal @ (divide @ X0 @ X1) @ X2)
% 1.28/0.91 | (less_equal @ (divide @ X0 @ X2) @ X1))),
% 1.28/0.91 inference('cnf', [status(esa)], [property_of_divide1])).
% 1.28/0.91 thf(zip_derived_cl45, plain,
% 1.28/0.91 (![X0 : $i]:
% 1.28/0.91 (~ (less_equal @ b @ X0)
% 1.28/0.91 | (less_equal @ (divide @ identity @ X0) @ a))),
% 1.28/0.91 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl10])).
% 1.28/0.91 thf(zip_derived_cl148, plain, ( (less_equal @ (divide @ identity @ b) @ a)),
% 1.28/0.91 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl45])).
% 1.28/0.91 thf(zip_derived_cl14, plain, (((divide @ identity @ b) = (c))),
% 1.28/0.91 inference('cnf', [status(esa)], [id_divide_b_is_c])).
% 1.28/0.91 thf(zip_derived_cl150, plain, ( (less_equal @ c @ a)),
% 1.28/0.91 inference('demod', [status(thm)], [zip_derived_cl148, zip_derived_cl14])).
% 1.28/0.91 thf(quotient_less_equal1, axiom,
% 1.28/0.91 (( ~( less_equal @ X @ Y ) ) | ( ( divide @ X @ Y ) = ( zero ) ))).
% 1.28/0.91 thf(zip_derived_cl0, plain,
% 1.28/0.91 (![X0 : $i, X1 : $i]:
% 1.28/0.91 (~ (less_equal @ X0 @ X1) | ((divide @ X0 @ X1) = (zero)))),
% 1.28/0.91 inference('cnf', [status(esa)], [quotient_less_equal1])).
% 1.28/0.91 thf(zip_derived_cl152, plain, (((divide @ c @ a) = (zero))),
% 1.28/0.91 inference('sup-', [status(thm)], [zip_derived_cl150, zip_derived_cl0])).
% 1.28/0.91 thf(quotient_property, axiom,
% 1.28/0.91 (less_equal @
% 1.28/0.91 ( divide @ ( divide @ X @ Z ) @ ( divide @ Y @ Z ) ) @
% 1.28/0.91 ( divide @ ( divide @ X @ Y ) @ Z ))).
% 1.28/0.91 thf(zip_derived_cl3, plain,
% 1.28/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.91 (less_equal @ (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)) @
% 1.28/0.91 (divide @ (divide @ X0 @ X2) @ X1))),
% 1.28/0.91 inference('cnf', [status(esa)], [quotient_property])).
% 1.28/0.91 thf(zip_derived_cl161, plain,
% 1.28/0.91 (![X0 : $i]:
% 1.28/0.91 (less_equal @ (divide @ (divide @ X0 @ a) @ zero) @
% 1.28/0.91 (divide @ (divide @ X0 @ c) @ a))),
% 1.28/0.91 inference('sup+', [status(thm)], [zip_derived_cl152, zip_derived_cl3])).
% 1.28/0.91 thf(zip_derived_cl32, plain, (![X0 : $i]: (less_equal @ X0 @ X0)),
% 1.28/0.91 inference('simplify', [status(thm)], [zip_derived_cl26])).
% 1.28/0.91 thf(zip_derived_cl10, plain,
% 1.28/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.91 (~ (less_equal @ (divide @ X0 @ X1) @ X2)
% 1.28/0.91 | (less_equal @ (divide @ X0 @ X2) @ X1))),
% 1.28/0.91 inference('cnf', [status(esa)], [property_of_divide1])).
% 1.28/0.91 thf(zip_derived_cl98, plain,
% 1.28/0.91 (![X0 : $i, X1 : $i]:
% 1.28/0.91 (less_equal @ (divide @ X1 @ (divide @ X1 @ X0)) @ X0)),
% 1.28/0.91 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl10])).
% 1.28/0.91 thf(zero_is_smallest, axiom, (less_equal @ zero @ X)).
% 1.28/0.91 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 1.28/0.91 inference('cnf', [status(esa)], [zero_is_smallest])).
% 1.28/0.91 thf(zip_derived_cl5, plain,
% 1.28/0.91 (![X0 : $i, X1 : $i]:
% 1.28/0.91 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 1.28/0.91 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 1.28/0.91 thf(zip_derived_cl37, plain,
% 1.28/0.91 (![X0 : $i]: (((zero) = (X0)) | ~ (less_equal @ X0 @ zero))),
% 1.28/0.91 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 1.28/0.91 thf(zip_derived_cl1763, plain,
% 1.28/0.91 (![X0 : $i]: ((zero) = (divide @ X0 @ (divide @ X0 @ zero)))),
% 1.28/0.91 inference('sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl37])).
% 1.28/0.91 thf(zip_derived_cl1, plain,
% 1.28/0.91 (![X0 : $i, X1 : $i]:
% 1.28/0.91 (((divide @ X0 @ X1) != (zero)) | (less_equal @ X0 @ X1))),
% 1.28/0.91 inference('cnf', [status(esa)], [quotient_less_equal2])).
% 1.28/0.91 thf(zip_derived_cl2087, plain,
% 1.28/0.91 (![X0 : $i]:
% 1.28/0.91 (((zero) != (zero)) | (less_equal @ X0 @ (divide @ X0 @ zero)))),
% 1.28/0.91 inference('sup-', [status(thm)], [zip_derived_cl1763, zip_derived_cl1])).
% 1.28/0.91 thf(zip_derived_cl2166, plain,
% 1.28/0.91 (![X0 : $i]: (less_equal @ X0 @ (divide @ X0 @ zero))),
% 1.28/0.91 inference('simplify', [status(thm)], [zip_derived_cl2087])).
% 1.28/0.91 thf(quotient_smaller_than_numerator, axiom,
% 1.28/0.91 (less_equal @ ( divide @ X @ Y ) @ X)).
% 1.28/0.91 thf(zip_derived_cl2, plain,
% 1.28/0.91 (![X0 : $i, X1 : $i]: (less_equal @ (divide @ X0 @ X1) @ X0)),
% 1.28/0.91 inference('cnf', [status(esa)], [quotient_smaller_than_numerator])).
% 1.28/0.91 thf(zip_derived_cl5, plain,
% 1.28/0.91 (![X0 : $i, X1 : $i]:
% 1.28/0.91 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 1.28/0.91 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 1.28/0.91 thf(zip_derived_cl36, plain,
% 1.28/0.91 (![X0 : $i, X1 : $i]:
% 1.28/0.91 (((divide @ X0 @ X1) = (X0))
% 1.28/0.91 | ~ (less_equal @ X0 @ (divide @ X0 @ X1)))),
% 1.28/0.91 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl5])).
% 1.28/0.91 thf(zip_derived_cl2384, plain, (![X0 : $i]: ((divide @ X0 @ zero) = (X0))),
% 1.28/0.91 inference('sup-', [status(thm)], [zip_derived_cl2166, zip_derived_cl36])).
% 1.28/0.91 thf(zip_derived_cl2547, plain,
% 1.28/0.91 (![X0 : $i]:
% 1.28/0.91 (less_equal @ (divide @ X0 @ a) @ (divide @ (divide @ X0 @ c) @ a))),
% 1.28/0.91 inference('demod', [status(thm)], [zip_derived_cl161, zip_derived_cl2384])).
% 1.28/0.91 thf(zip_derived_cl2559, plain,
% 1.28/0.91 ( (less_equal @ (divide @ identity @ a) @ (divide @ d @ a))),
% 1.28/0.91 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl2547])).
% 1.28/0.91 thf(zip_derived_cl13, plain, (((divide @ identity @ a) = (b))),
% 1.28/0.91 inference('cnf', [status(esa)], [id_divide_a_is_b])).
% 1.28/0.91 thf(zip_derived_cl2576, plain, ( (less_equal @ b @ (divide @ d @ a))),
% 1.28/0.91 inference('demod', [status(thm)], [zip_derived_cl2559, zip_derived_cl13])).
% 1.28/0.91 thf(zip_derived_cl170, plain, ( (less_equal @ d @ b)),
% 1.28/0.91 inference('demod', [status(thm)], [zip_derived_cl167, zip_derived_cl15])).
% 1.28/0.91 thf(zip_derived_cl0, plain,
% 1.28/0.91 (![X0 : $i, X1 : $i]:
% 1.28/0.91 (~ (less_equal @ X0 @ X1) | ((divide @ X0 @ X1) = (zero)))),
% 1.28/0.91 inference('cnf', [status(esa)], [quotient_less_equal1])).
% 1.28/0.91 thf(zip_derived_cl173, plain, (((divide @ d @ b) = (zero))),
% 1.28/0.91 inference('sup-', [status(thm)], [zip_derived_cl170, zip_derived_cl0])).
% 1.28/0.91 thf(zip_derived_cl10, plain,
% 1.28/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.91 (~ (less_equal @ (divide @ X0 @ X1) @ X2)
% 1.28/0.91 | (less_equal @ (divide @ X0 @ X2) @ X1))),
% 1.28/0.91 inference('cnf', [status(esa)], [property_of_divide1])).
% 1.28/0.91 thf(zip_derived_cl180, plain,
% 1.28/0.91 (![X0 : $i]:
% 1.28/0.91 (~ (less_equal @ zero @ X0) | (less_equal @ (divide @ d @ X0) @ b))),
% 1.28/0.91 inference('sup-', [status(thm)], [zip_derived_cl173, zip_derived_cl10])).
% 1.28/0.91 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 1.28/0.91 inference('cnf', [status(esa)], [zero_is_smallest])).
% 1.28/0.91 thf(zip_derived_cl187, plain,
% 1.28/0.91 (![X0 : $i]: (less_equal @ (divide @ d @ X0) @ b)),
% 1.28/0.91 inference('demod', [status(thm)], [zip_derived_cl180, zip_derived_cl4])).
% 1.28/0.91 thf(zip_derived_cl5, plain,
% 1.28/0.91 (![X0 : $i, X1 : $i]:
% 1.28/0.91 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 1.28/0.91 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 1.28/0.91 thf(zip_derived_cl190, plain,
% 1.28/0.91 (![X0 : $i]:
% 1.28/0.91 (((divide @ d @ X0) = (b)) | ~ (less_equal @ b @ (divide @ d @ X0)))),
% 1.28/0.91 inference('sup-', [status(thm)], [zip_derived_cl187, zip_derived_cl5])).
% 1.28/0.91 thf(zip_derived_cl2591, plain, (((divide @ d @ a) = (b))),
% 1.28/0.91 inference('sup-', [status(thm)], [zip_derived_cl2576, zip_derived_cl190])).
% 1.28/0.91 thf(zip_derived_cl2, plain,
% 1.28/0.91 (![X0 : $i, X1 : $i]: (less_equal @ (divide @ X0 @ X1) @ X0)),
% 1.28/0.91 inference('cnf', [status(esa)], [quotient_smaller_than_numerator])).
% 1.28/0.91 thf(zip_derived_cl2596, plain, ( (less_equal @ b @ d)),
% 1.28/0.91 inference('sup+', [status(thm)], [zip_derived_cl2591, zip_derived_cl2])).
% 1.28/0.91 thf(zip_derived_cl2654, plain, ($false),
% 1.28/0.91 inference('demod', [status(thm)], [zip_derived_cl176, zip_derived_cl2596])).
% 1.28/0.91
% 1.28/0.91 % SZS output end Refutation
% 1.28/0.91
% 1.28/0.91
% 1.28/0.92 % Terminating...
% 1.84/0.99 % Runner terminated.
% 1.84/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------